We reconsider the problem of the hyperon puzzle and its suggested solution by quark deconfinement within the two-phase approach to hybrid compact stars with recently obtained hadronic and quark matter equations of state. For the hadronic phase we employ the hypernuclear equation of state from the lowest order constrained variational method and the quark matter phase is described by a sufficiently stiff equation of state based on a color superconducting nonlocal Nambu-Jona-Lasinio model with constant (model nlNJLA) and with density-dependent (model nlNJLB) parameters. We study the model dependence of the phase transition obtained by a Maxwell construction. Our study confirms that also with the present set of equations of state quark deconfinement presents a viable solution of the hyperon puzzle even for the new constraint on the lower limit of the maximum mass from PSR $\mathrm{J}0740+6620$. In this work we provide with model nlNJLB for the first time a hybrid star EoS with an intermediate hypernuclear matter phase between the nuclear and color superconducting quark matter phases, for which the maximum mass of the compact star reaches $2.2M_{\odot }$, in accordance with most recent constraints. In model nlNJLA such a phase cannot be realized because the phase transition onset is at low densities, before the hyperon threshold density is passed. We discuss possible consequences of the hybrid equation of state for the deconfinement phase transition in symmetric matter as it will be probed in future heavy-ion collisions at the GSI Facility for Antiproton and Ion Research, the Nuclotron-based Ion Collider fAcility, and corresponding energy scan programs at the CERN Large Hadron Collider and the BNL Relativistic Heavy Ion Collider.

• Received 23 August 2019
• Revised 3 January 2020
• Accepted 24 January 2020

DOI:https://doi.org/10.1103/PhysRevC.101.025807